Life - Upper Intermediate: VIDEOComprehensive grammar, vocabulary, functions, pronunciation and skills syllabuses address the needs of contemporary students, and then Life goes one step further to enrich communication and critical thinking. Grammar is presented in context with full explanations and extensive additional support. Vocabulary is introduced thematically with further focus at lexical and morphological levels in Word focus and Word building sections. Real Life lessons model and practice everyday functions and pronunciation is dealt with in depth.
This series of five video-based courses helps to improve language and communication skills in specific business areas. Each course presents a common business function, such as negotiating a business deal. It presents an analysis of the skills and language needed to perform these functions effectively in English and illustrates both positive and negative models of the business functions for discussion and analysis.
A noun is a word that names a person, animal, place, thing, or idea. Vivid photographs and creative text help the Word Wizard introduce readers to different forms and functions of nouns, including plural, proper, and possessive.
This book is an ideal text for an advanced course in the theory of complex functions. The author successfully enables the reader to experience function theory personally and to participate in the work of the creative mathematician. Unlike the first volume, it contains numerous glimpses of the function theory of several complex variables emphasizing how autonomous this discipline has become. Covered are Weierstrass' product theorem, Mittag-Leffler's theorem, the Riemann mapping theorem, and Runge's theorems on approximations of analytic functions.
Modern developments in theoretical and applied science depend on knowledge of the properties of mathematical functions, from elementary trigonometric functions to the multitude of special functions. These functions appear whenever natural phenomena are studied, engineering problems are formulated, and numerical simulations are performed.